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Finding the Fourth Proportional to 715.65, 987.57 and 400.83

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Solution

The fourth proportional to 715.65, 987.57 and 400.83 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.65 : 987.57 = 400.83 : x
  2. Step 2: Convert to fraction form
    715.65/987.57 = 400.83/x
  3. Step 3: Cross multiply
    715.65x = 987.57 × 400.83
  4. Step 4: Simplify right side
    715.65x = 395,847.68
  5. Step 5: Solve for x
    x = 395,847.68/715.65
  6. Step 6: Final answer
    x = 553.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.